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Added entrywise inversion and documentation for vec-vec operation

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cirdans-home
2019-11-21 13:56:22 +01:00
parent db7b882e9c
commit b3c4971146
340 changed files with 24932 additions and 20314 deletions
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@@ -23,26 +23,26 @@
<BODY >
<DIV CLASS="navigation"><!--Navigation Panel-->
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@@ -88,7 +88,7 @@ y \leftarrow \alpha A^T x + \beta y
<A NAME="eq:f90spmm_tra"></A>
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
WIDTH="112" HEIGHT="27" BORDER="0"
WIDTH="111" HEIGHT="27" BORDER="0"
SRC="img49.png"
ALT="\begin{displaymath}
y \leftarrow \alpha A^T x + \beta y
@@ -122,29 +122,29 @@ y \leftarrow \alpha A^H x + \beta y
where:
<DL>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN></STRONG></DT>
<DD>is the global dense matrix <SPAN CLASS="MATH"><IMG
WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="25" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img51.png"
ALT="$x_{:, :}$"></SPAN>
</DD>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN></STRONG></DT>
<DD>is the global dense matrix <SPAN CLASS="MATH"><IMG
WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="23" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img52.png"
ALT="$y_{:, :}$"></SPAN>
</DD>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN></STRONG></DT>
<DD>is the global sparse matrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>
</DD>
@@ -152,7 +152,7 @@ where:
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="2034"></A>
<DIV ALIGN="CENTER"><A NAME="2141"></A>
<TABLE>
<CAPTION><STRONG>Table 12:</STRONG>
Data types</CAPTION>
@@ -160,19 +160,19 @@ Data types</CAPTION>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
@@ -213,7 +213,7 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &amp;
</DD>
<DT><STRONG>alpha</STRONG></DT>
<DD>the scalar <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$"></SPAN>.
<BR>
@@ -229,7 +229,7 @@ Table&nbsp;<A HREF="#tab:f90spmm">12</A>.
<DT><STRONG>a</STRONG></DT>
<DD>the local portion of the sparse matrix
<SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>.
<BR>
@@ -244,7 +244,7 @@ Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
<DT><STRONG>x</STRONG></DT>
<DD>the local portion of global dense matrix
<SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>.
@@ -258,16 +258,16 @@ Intent: <B>in</B>.
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90spmm">12</A>. The rank of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
</DD>
<DT><STRONG>beta</STRONG></DT>
<DD>the scalar <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></SPAN>.
<BR>
@@ -282,7 +282,7 @@ Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f9
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of global dense matrix
<SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
@@ -296,10 +296,10 @@ Intent: <B>inout</B>.
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90spmm">12</A>. The rank of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>.
</DD>
@@ -336,7 +336,7 @@ Type: <B>optional</B>
Intent: <B>in</B>.
<BR>
Default: <SPAN CLASS="MATH"><IMG
WIDTH="79" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="78" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img53.png"
ALT="$trans = N$"></SPAN>
<BR>
@@ -354,10 +354,10 @@ Type: <B>optional</B>
Intent: <B>inout</B>.
<BR>
Specified as: a rank one array of the same type of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> and <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN> with
the TARGET attribute.
@@ -369,7 +369,7 @@ the TARGET attribute.
</DD>
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of result matrix <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
<BR>
@@ -400,26 +400,26 @@ An integer value; 0 means no error has been detected.
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